Fractional Aharonov-Bohm oscillation of a two-layer ring with two electrons

Details Fractional Aharonov-Bohm oscillation of a two-layer ring with two electrons Fractional Aharonov-Bohm oscillation of a two-layer ring with two electrons

2008-01-23

arxiv.org/abs/0801.3641v1

Eur. Phys. J. B 62 (2008) 465

Physics

Condensed Matter

Other Condensed Matter

5 pages, 6 figures, submitted

Scientific paper

10.1140/epjb/e2008-00184-y

When a circular ring suffers a special topological transformation, it becomes a two-layer ring. Due to the special topology of the two-layer ring, orbital angular momenta are allowed to be a half-integer, this would affect the traditional Aharonov-Bohm oscillation (ABO). In this paper the fractional ABO of the ground state energy, persistent current, and dipole transition of a two-layer ring with two electrons has been studied. Collective and internal coordinates $\theta_{C}$ and $\phi $ have been introduced. Based on them a very simple formula for the current has been obtained, the symmetry constraint imposed on the dipole transition has been clarified, a strict relation between the photon energies of the dipole radiation and the persistent current of the ground state has been found. Comparing with the one-layer rings, the period of the fractional ABO of the two-layer rings becomes much shorter.

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